Divisor Sum of 274,924

Example of Divisor Sum of Integer

$\map {\sigma_1} {274 \, 924} = 550 \, 368$

where $\sigma_1$ denotes the divisor sum function.

We have that:

$274 \, 924 = 2^2 \times 13 \times 17 \times 311$

Hence:

$\ds \map {\sigma_1} {274 \, 924}$

$=$

$\ds \frac {2^3 - 1} {2 - 1} \times \paren {13 + 1} \times \paren {17 + 1} \times \paren {311 + 1}$

$\ds $

$=$

$\ds 7 \times 14 \times 18 \times 312$

$\ds $

$=$

$\ds 7 \times \paren {2 \times 7} \times \paren {2 \times 3^2} \times \paren {2^3 \times 3 \times 13}$

$\ds $

$=$

$\ds 2^5 \times 3^3 \times 7^2 \times 13$

$\ds $

$=$

$\ds 550 \, 368$

$\blacksquare$